How I figured
I got a radius of 28cm
Quote:In the following diagram, each blue line is 24 centimetres long, and the red line is 16 centimetres long. Assume the shape in the centre of the circle is a perfect square, and it is exactly centred in the circle. Also assume that all three coloured lines are parallel to each other.
The square in the middle is a perfect square and the lines are all parallel.
This means the group of three lines can be drawn in all four directions.
This gives 4 red lines and 8 blue lines. The blue lines begin to connect and create four 48 cm blue lines.
You get a shape like that below
\ X /
X[ ]X
/ X \
X is where blue lines cross and \ are red lines (sorry for no pictures
The blue lines cross in the middle pint, so each line is 12 cm
The blue lines, can create a square 24cm x 24cm (with 12cm comming off the square).
In the middle off the square is a perfect diamond.
Use Pythagorean theorem (a^2 + b^2 = c^2). Half of each side of the square (where the corner of the diamond touches) is 12cm.
12^2 +12^2 =squareroot(288)
That means each side of the square in the middle is Squareroot(288)
Used Pythagorean theorem to find the angle inside the middle square.
sqrt(288)^2 + sqrt(288)^2 = c^2
288+288=c^2
sqrt(576) = 24
Half of that line is 12 and added to the red line (16cm) = 28cm
I overlooked that. That makes it easy.
